If the analysis extends to consider thermal effects, this can be implemented by changing the Reynolds equation in order to take viscosity and density dependency with temperature into account. The resulting equations is the Generalized Reynolds equation. A thermal model is also needed to represent the temperature profiles in the fluid and solids. The classical energy equations will be written along with the corresponding boundary conditions.
STUDY:
To complete the first objective, a battery of computations with sliding speed will be compared to results obtained for pure squeeze. If there are differences, then the prediction of film thickness will be studied regarding the variation of various input parameters.
The introduction of thermal effects will require the introduction of new characteristic times similarly to the work done by Raisin[6].
In both cases, a criterion must be defined. In this study, an important value that will be calculated is the minimum film thickness between the two contacting bodies. The model will also be able to compute central film thickness, pressure values, temperature extremums, which can also show interesting behaviors.
REFERENCES:
[1] H. Christensen, “The Oil Film in a Closing Gap,” Proc. R. Soc. A Math. Phys. Eng. Sci., vol. 266, no. 1326, pp. 312–328, Mar. 1962.
[2] D. Dowson and D. A. Jones, “Lubricant Entrapment between Approaching Elastic Solids,” Nature, vol. 214, pp. 947–948, 1967.
[3] F. J. Westlake and A. Cameron, “A Study of Ultra-Thin Lubricant Films Using an Optical Technique - 1967,” Proc. Inst. Mech. Eng., vol. 182, no. 7, pp. 75–78, 1967.
[4] K. P. Oh, “The Numerical Solution of Dynamically Loaded Elastohydrodynamic Contact as a Nonlinear Complementarity Problem,” J. Tribol., vol. 106, no. 1, pp. 88–95, Jan. 1984.
[5] A. Cameron, “The Viscosity Wedge,” A S L E Trans., vol. 1, no. 2, pp. 248–253, Jan. 1958.
[6] J. Raisin, N. Fillot, D. Dureisseix, P. Vergne, and V. Lacour, “Characteristic times in transient thermal elastohydrodynamic line contacts,” Tribol. Int., 2015.